What is the answer to 5/x-1/(x+2)=1 ?

The answer to 5/x-1/(x+2)=1 is x=1+sqrt(11),x=1-sqrt(11)

Solve for x: 5/x-1/(x+2)=1

The solution is x=1+sqrt(11),x=1-sqrt(11)

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\frac{5}{x} - \frac{1}{x + 2} = 1

x = 1 + 11, x = 1 - 11

Decimal Notation

x = 4.31662 \dots, x = - 2.31662 \dots

Solution steps

\frac{5}{x} - \frac{1}{x + 2} = 1

Multiply by LCM

5 (x + 2) - x = x (x + 2)

Solve

5 (x + 2) - x = x (x + 2) : x = 1 + 11, x = 1 - 11

x = 1 + 11, x = 1 - 11

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = 1 + 11, x = 1 - 11

\frac{5 x - 5}{x + 1} = 3

\frac{3}{x} = \frac{21}{8 x} + 3

\frac{1}{2 x - 5} = \frac{x - 2}{x - 1}

\frac{3}{x} + 6 = - 45

a, x = \frac{a + b + c}{ab}

What is the answer to 5/x-1/(x+2)=1 ?
The answer to 5/x-1/(x+2)=1 is x=1+sqrt(11),x=1-sqrt(11)
Solve for x: 5/x-1/(x+2)=1
The solution is x=1+sqrt(11),x=1-sqrt(11)